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Dynamic games with hidden actions and hidden states

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  • Harold L. Cole
  • Narayana R. Kocherlakota

Abstract

We consider the large class of dynamic games in which each player’s actions are unobservable to the other players, and each player’s actions can influence a state variable that is unobservable to the other players. We develop an algorithm that solves for the subset of sequential equilibria in which equilibrium strategies are Markov in the privately observed state.

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Bibliographic Info

Paper provided by Federal Reserve Bank of Minneapolis in its series Working Papers with number 583.

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Date of creation: 1997
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Handle: RePEc:fip:fedmwp:583

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Keywords: Game theory;

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References

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  1. Edward J Green & Robert H Porter, 1997. "Noncooperative Collusion Under Imperfect Price Information," Levine's Working Paper Archive 1147, David K. Levine.
  2. Cole, Harold L & Kocherlakota, Narayana R, 2001. "Efficient Allocations with Hidden Income and Hidden Storage," Review of Economic Studies, Wiley Blackwell, vol. 68(3), pages 523-42, July.
  3. Spear, Stephen E & Srivastava, Sanjay, 1987. "On Repeated Moral Hazard with Discounting," Review of Economic Studies, Wiley Blackwell, vol. 54(4), pages 599-617, October.
  4. Drew Fudenberg & Bengt Holmstrom & Paul Milgrom, 1987. "Short-Term Contracts and Long-Term Agency Relationships," Working papers 468, Massachusetts Institute of Technology (MIT), Department of Economics.
  5. Atkeson, Andrew, 1991. "International Lending with Moral Hazard and Risk of Repudiation," Econometrica, Econometric Society, vol. 59(4), pages 1069-89, July.
  6. Ana Fernandes & Christopher Phelan, 1999. "A recursive formulation for repeated agency with history dependence," Staff Report 259, Federal Reserve Bank of Minneapolis.
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Citations

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Cited by:
  1. Matthias Doepke & Robert M. Townsend, 2002. "Dynamic Mechanism Design With Hidden Income and Hidden Actions," UCLA Economics Working Papers 818, UCLA Department of Economics.
  2. Abraham, Arpad & Pavoni, Nicola, 2004. "Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending," Working Papers 04-05, Duke University, Department of Economics.
  3. Johannes Horner & Satoru Takahashi & Nicolas Vieille, 2014. "Truthful Equilibria in Dynamic Bayesian Games," Levine's Working Paper Archive 786969000000000881, David K. Levine.
  4. Susan Athey & Kyle Bagwell, 2007. "Collusion with Persistent Cost Shocks," Levine's Bibliography 321307000000000898, UCLA Department of Economics.
  5. Arpad Abraham & Nicola Pavoni, 2008. "Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending: A Recursive Formulation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(4), pages 781-803, October.
  6. Łukasz Balbus & Kevin Reffett & Łukasz Woźny, 2013. "Markov Stationary Equilibria in Stochastic Supermodular Games with Imperfect Private and Public Information," Dynamic Games and Applications, Springer, vol. 3(2), pages 187-206, June.
  7. Fernandes, Ana & Phelan, Christopher, 2000. "A Recursive Formulation for Repeated Agency with History Dependence," Journal of Economic Theory, Elsevier, vol. 91(2), pages 223-247, April.
  8. Mitri Kitti, 2013. "Conditional Markov equilibria in discounted dynamic games," Computational Statistics, Springer, vol. 78(1), pages 77-100, August.
  9. Doraszelski, Ulrich & Escobar, Juan F., 2012. "Restricted feedback in long term relationships," Journal of Economic Theory, Elsevier, vol. 147(1), pages 142-161.

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